Convexity-preserving Bernstein–Be´ zier quartic scheme
A C1 convex surface data interpolation scheme is presented to preserve the shape of scattered data arranged over a triangular grid. Bernstein–Be´ zier quartic function is used for interpolation. Lower bound of the boundary and inner Be´zier ordinates is determined to guarantee convexity of surface....
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2014
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| Online Access: | http://eprints.usm.my/38531/1/Convexity-preserving_Bernstein%E2%80%93B%C3%A9zier_quartic_scheme.pdf http://eprints.usm.my/38531/ https://dx.doi.org/10.1016/j.eij.2014.04.001 |
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my.usm.eprints.38531 http://eprints.usm.my/38531/ Convexity-preserving Bernstein–Be´ zier quartic scheme Hussain, Maria Majid, Ahmad Abd Hussain, Malik Zawwar QA1-939 Mathematics A C1 convex surface data interpolation scheme is presented to preserve the shape of scattered data arranged over a triangular grid. Bernstein–Be´ zier quartic function is used for interpolation. Lower bound of the boundary and inner Be´zier ordinates is determined to guarantee convexity of surface. The developed scheme is flexible and involves more relaxed constraints. Elsevier 2014-07 Article PeerReviewed application/pdf en http://eprints.usm.my/38531/1/Convexity-preserving_Bernstein%E2%80%93B%C3%A9zier_quartic_scheme.pdf Hussain, Maria and Majid, Ahmad Abd and Hussain, Malik Zawwar (2014) Convexity-preserving Bernstein–Be´ zier quartic scheme. Egyptian Informatics Journal, 15 (2). pp. 89-95. ISSN 1110-8665 https://dx.doi.org/10.1016/j.eij.2014.04.001 |
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QA1-939 Mathematics |
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QA1-939 Mathematics Hussain, Maria Majid, Ahmad Abd Hussain, Malik Zawwar Convexity-preserving Bernstein–Be´ zier quartic scheme |
| description |
A C1 convex surface data interpolation scheme is presented to preserve the shape of scattered data arranged over a triangular grid. Bernstein–Be´ zier quartic function is used for interpolation. Lower bound of the boundary and inner Be´zier ordinates is determined to guarantee convexity of surface. The developed scheme is flexible and involves more relaxed constraints. |
| format |
Article |
| author |
Hussain, Maria Majid, Ahmad Abd Hussain, Malik Zawwar |
| author_facet |
Hussain, Maria Majid, Ahmad Abd Hussain, Malik Zawwar |
| author_sort |
Hussain, Maria |
| title |
Convexity-preserving Bernstein–Be´ zier quartic scheme |
| title_short |
Convexity-preserving Bernstein–Be´ zier quartic scheme |
| title_full |
Convexity-preserving Bernstein–Be´ zier quartic scheme |
| title_fullStr |
Convexity-preserving Bernstein–Be´ zier quartic scheme |
| title_full_unstemmed |
Convexity-preserving Bernstein–Be´ zier quartic scheme |
| title_sort |
convexity-preserving bernstein–be´ zier quartic scheme |
| publisher |
Elsevier |
| publishDate |
2014 |
| url |
http://eprints.usm.my/38531/1/Convexity-preserving_Bernstein%E2%80%93B%C3%A9zier_quartic_scheme.pdf http://eprints.usm.my/38531/ https://dx.doi.org/10.1016/j.eij.2014.04.001 |
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1643709385112813568 |